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Finding the Fourth Proportional to 6,477.42, 9,715.07 and 2,316.72

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Solution

The fourth proportional to 6,477.42, 9,715.07 and 2,316.72 is: 3,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.42 : 9,715.07 = 2,316.72 : x
  2. Step 2: Convert to fraction form
    6,477.42/9,715.07 = 2,316.72/x
  3. Step 3: Cross multiply
    6,477.42x = 9,715.07 × 2,316.72
  4. Step 4: Simplify right side
    6,477.42x = 22,507,085.39
  5. Step 5: Solve for x
    x = 22,507,085.39/6,477.42
  6. Step 6: Final answer
    x = 3,474.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.